Revision Notes and Video Lectures on **Arithmetic Progression** for Class 10 Board Exam (Padhte Chalo, Badhte Chalo- Eckovation). Join Group Code 101010 to discuss your doubts with educators from IIT Delhi

**Unit 2**of class X CBSE contains 4 chapters which includes

1.Polynomials

2.Pair of linear equation in two variables

3.Quadratic Equations

4.**Arithmetic Progression**- This unit carries
**20 marks**out of 80 - Click here to download revision notes of Arithmetic Progression

- Is 2, 8, 18, 32, ______ an A.P.? If yes, then find its next two terms.
- Find an A.P. whose 2nd term is 10 and the 6th term exceeds the 4th term by 12.
- Which term of the A.P. 41, 38, 35 _______ is the first negative term? Find the term also.
- Nidhi saves Rs. 2 on day 1, Rs. 4 on day 2, Rs. 6 on day 3 and so on. How much money she save in month of Feb. 2011?
- Find the number of terms in an A.P. whose first term and 6th term are 12 and 8 respectively and sum of all terms is 120.
- How many two digits numbers between 6 and 102 are divisible by 6.
- If sn the sum of first n terms of an A.P. is given by sn = 3n 2 – 4n, then find its n th term and common difference.
- The sum of 4th and 8th terms of an A.P. is 24 and sum of 6th and 10th terms is 44. Find A.P.
- Find the sum of odd positive integers between 1 and 199.
- How many terms of the A.P. 22, 20, 18, _____ should be taken so that their sum is zero?
- 4k + 8, 2k 2 + 3k + 6, 3k 2 + 4k + 4 are the angles of a triangle. These form an A.P. Find value of k.
- If 11 times of 11th term is equal to 17 times of 17th term of an A.P. find its 28th term.
- The fourth term of an A.P. is equal to 3 times the first term and the seventh term exceeds twice the third term by 1. Find the first term and common difference of the A.P.
- Find the middle term of the A.P. 20, 16, 12, ……, –176.
- Find the number of terms of the A.P. 57, 54, 51, ______ so that their sum is 570. Explain the double answer.
- The sum of three numbers in A.P. is 24 and their product is 440. Find the numbers.
- Find the sum of the first 40 terms of an A.P. whose n th term is 3 – 2n.
- In an A.P., the first term is 2, the last term is 29 and the sum of the terms is 155. Find common difference ‘d’.
- If n th term of an A.P. is 4, common difference is 2 and sum of n terms is –14, then find first term and the number of terms.
- Find the sum of all the three digits numbers each of which leaves the remainder 3 when divided by 5.

### Answers

1 Yes, √ 50,√ 72 2 4, 10, 16, …………… 3 15th term, –1 4 Rs. 812 5 12 6 15 7 6n – 7, Common difference = 6 8 –13, –8, –3, 2 …………… 9 9800 10 . 23

11 0, 2 12 0 13 First term = 3, common difference = 2 14 –76, –80 15 19 or 20, {20th term is zero} 16 5, 8, 11 17 –1520 18 3 19 First term = – 8, Number of terms 20 99090